Linear Analysis on Multiple-relaxation-time Lattice Boltzmann Method

Y. Wang, J. Shi · 2015 · arXiv

| 编号 QC069 | 主题 经典 CFD 基础 | 链接 arXiv:1502.05868 |

摘要

摘要保留原文（英文）

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The development of multiple-relaxation-time (MRT) Lattice Boltzmann method (LBM) is a significant contribution in improving the numerical behavior, revealing the math and physics mechanism and extending the application of LBM. However, some of the MRT schemes proposed previously are not physically-consistent. In this work, we take D2Q9 as a example to show how to derive physically-consistent MRT-LBM schemes by eigenvalue decomposition of the collision operator. In addition, the scheme is validated by the equivalence to Navier-Stokes equations and numerical simulations.

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